Development of Floquet Multiplier Estimator to Determine Nonlinear Oscillatory Behavior in Power System Data Measurement

Measurement-based technology has been developed in the area of power transmission systems with phasor measurement units (PMU). Using high-resolution PMU data, the oscillatory behavior of power systems from general electromagnetic oscillations to sub-synchronous resonances can be observed. Studying o...

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Bibliographic Details
Published in:Energies (Basel) 2019, Vol.12 (10), p.1824
Main Authors: Choi, Namki, Cho, Hwanhee, Lee, Byongjun
Format: Article
Language:English
Subjects:
Behavior
Comparative studies
Computer applications
Data acquisition
DFIG
Economic models
Eigenvalues
Electromagnetic induction
Engineering
floquet multiplier
Induction generators
Measuring instruments
Multipliers
Orbital stability
Orbits
Oscillations
Poincare maps
poincaré map
Power
power systems
Systems stability
Time series
time series data
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Summary:Measurement-based technology has been developed in the area of power transmission systems with phasor measurement units (PMU). Using high-resolution PMU data, the oscillatory behavior of power systems from general electromagnetic oscillations to sub-synchronous resonances can be observed. Studying oscillations in power systems is important to obtain information about the orbital stability of the system. Floquet multipliers calculation is based on a mathematical model to determine the orbital stability of a system with the existence of stable or unstable periodic solutions. In this paper, we have developed a model-free method to estimate Floquet multipliers using time series data. A comparative study between calculated and estimated Floquet multipliers has been performed to validate the proposed method. The results are provided for a sample three-bus power system network and the system integrated with a doubly fed induction generator.
ISSN:1996-1073
1996-1073
DOI:10.3390/en12101824